Math, asked by sanchitaf123, 9 months ago

FACTORISE:- 9x^3y+41x^2y+20xy^3
PLEASE ITS URGENT​

Answers

Answered by vilnius
11

xy (9x + 5y) (x + 4)

Step-by-step explanation:

Given,

9x³y + 41x²y + 20xy³

Taking out xy as common:

xy (9x² + 41x + 20y²)

Splitting the middle term:

xy (9x²+ 36xy + 5xy + 20y²)

Grouping together:

xy [(9x²+ 36xy) + (5xy + 20y²) ]

Taking out common:

xy [9x (x + 4) + 5y (x + 4)]

xy (9x + 5y) (x + 4)

∴ The factors are xy (9x + 5y) (x + 4)

Learn more:

Factorise the following

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Answered by kaushr2006
6

Answer:

Here is the answer for your question.

Step-by-step explanation:

9x³y + 41x²y + 20xy³

xy (9x² + 41x + 20y²)

xy (9x²+ 36xy + 5xy + 20y²)

xy [(9x²+ 36xy) + (5xy + 20y²) ]

xy [9x (x + 4) + 5y (x + 4)]

xy (9x + 5y) (x + 4)

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